I am trying to compare plots of the function (1+x)^{1/3} and its power series. The code for the power series generates an error message referring to an invalid variable: 'General::ivar: -1.09993 is ...

I've got a real-valued function of several vectors $f(u,v,w)$ formed by taking scalar products of linear combinations of the vectors,
I want to Taylor expand around small $v$ by writing
$$f(u,\delta ...

In general, how do I get Mathematica to symbolically expand various infinite series to an arbitrary degree of accuracy? I deal with q-hypergeometric series quite frequently, and specifically want to ...

I'm working through Carl Bender's Mathematical Physics lectures on YouTube (which are great fun), and I'd like Mathematica's help solving terms in the perturbation series. It would be convenient if ...

For almost esthetical reasons, I always have been fascinated by infinite sums of series and I always wonder if theyhave a closed form. A couple of days ago, I found on MSE a question related to the ...

I have a polynomial in x and y. I want to keep all the terms with (combined) degree 4.
Any pointers will be appreciated. Simple tricks for doing the same with univariate polynomial don't seem to work.
...

In my demonstration "Sequence Sums That Are Squares"
I demonstrate two "lines" of solutions (of infinite length) and ask whether someone can find one more line.
I am looking forward to your solution. ...

How can I get binomial coefficients in expansion of $(n x+i) (1+i x)^n+(n x-i) (1-i x)^n$, where $i=\sqrt{-1}$ and $n$ is an integer. I have no idea how to coax Mathematica to do something remotely ...

when using product in mathematica the initial and maximum value of the product will be the variable itself that will be maupulated.
what I need is to make these initial and maximum of the product as ...

I would like to change all values of a series to positive values.
I refer to my previous question, answered in the most part, very elegantly by RunnyKine. However, there remains a slight glitch that ...

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